Lesson 3.02h

3.02h Motion under gravity Quiz: OCR Maths, Unit 17

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3.02h, Motion under gravity: 20 multiple choice questions for the OCR Maths (H240), Unit 17: Kinematics, written with Revision Ninja.

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The 20 questions

  1. What standard value of g is used in OCR A Level Mathematics?

    • 9.81 m s⁻²
    • 9.8 m s⁻²
    • 10 m s⁻²
    • 9.78 m s⁻²

  2. In vector notation using unit vectors i and j, what is acceleration under gravity?

    • g j
    • g i
    • -g j
    • -g i

  3. Which assumption is made when modelling a projectile as a particle?

    • Variable shape
    • Variable mass
    • Ignore gravity
    • Ignore rotational effects

  4. What is the horizontal acceleration of a projectile when ignoring air resistance?

    • 9.8 m s⁻²
    • -9.8 m s⁻²
    • Zero
    • Variable

  5. What is the vertical component of velocity at the highest point of a trajectory?

    • Zero
    • Maximum
    • -9.8 m s⁻¹
    • Initial velocity

  6. What is the mathematical shape of a projectile trajectory under constant gravity?

    • Hyperbola
    • Parabola
    • Circle
    • Ellipse

  7. How does including air resistance affect the maximum height reached by a projectile?

    • Increases it
    • Decreases it
    • Doubles it
    • No effect

  8. In the cartesian equation of a projectile trajectory, what does the variable y represent?

    • Time of flight
    • Horizontal distance
    • Total distance
    • Vertical displacement

  9. A ball is thrown vertically upwards at 19.6 m s⁻¹. How long to reach max height?

    • 1 second
    • 9.8 seconds
    • 2 seconds
    • 4 seconds

  10. A particle is projected with initial velocity vector (3i + 4j) m s⁻¹. What is its initial speed?

    • 5 m s⁻¹
    • 7 m s⁻¹
    • 12 m s⁻¹
    • 1 m s⁻¹

  11. What is the horizontal component of initial velocity for a launch speed u at angle θ?

    • u g
    • u cos θ
    • u tan θ
    • u sin θ

  12. What is the vertical component of initial velocity for a launch speed u at angle θ?

    • u sin θ
    • u tan θ
    • u cos θ
    • u g

  13. A stone is dropped from rest. What is its speed after 3 seconds under gravity?

    • 44.1 m s⁻¹
    • 29.4 m s⁻¹
    • 9.8 m s⁻¹
    • 19.6 m s⁻¹

  14. A particle is projected horizontally at 10 m s⁻¹. What is its horizontal speed after 2 seconds?

    • 19.6 m s⁻¹
    • 0 m s⁻¹
    • 29.6 m s⁻¹
    • 10 m s⁻¹

  15. What expression gives the time taken for a projectile to reach its maximum height?

    • (u sin θ) / 2g
    • u / g
    • (u cos θ) / g
    • (u sin θ) / g

  16. A ball is thrown vertically upwards at 9.8 m s⁻¹. What maximum height does it reach?

    • 19.6 metres
    • 9.8 metres
    • 2.45 metres
    • 4.9 metres

  17. For a projectile launched from the origin, what is horizontal displacement x at time t?

    • u t sin θ
    • u t cos θ
    • u t² cos θ
    • u cos θ

  18. In the cartesian trajectory equation y = x tan θ - gx²/(2u² cos² θ), what is the coefficient of x?

    • tan θ
    • sin θ
    • cos θ
    • sec θ

  19. What is the total time of flight for a projectile launched at speed u at angle θ on flat ground?

    • (u sin θ) / 2g
    • (2 u cos θ) / g
    • (2 u sin θ) / g
    • (u sin θ) / g

  20. Which launch angle gives the maximum horizontal range for a given initial speed on flat ground?

    • 45 degrees
    • 30 degrees
    • 60 degrees
    • 90 degrees

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